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To find the value of x, we can use the fact that the angles of a triangle add up to 180 degrees.
So,
35 degrees + 40 degrees + x = 180 degrees.
Combine like terms:
75 degrees + x = 180 degrees
Now, subtract 75 degrees from both sides:
x = 180 degrees - 75 degrees
x = 105 degrees
Therefore, the value of x is 105 degrees.